show that y=c1e-t+c2e-3t is a solution to the differential equation y''+3y'+2y=0.

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A: Step 1: Not true  Step 2: Step 3: Step 4:

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A: y=4x+16​let:u = 6 u' = d/dx(6) = 0 v = 4x + 1v' = d/dx(4x + 1) = 4 Solution:Substitute and simplify…

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A: Approach to solving the question: Detailed explanation: Examples: Key references:

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A: If you have any questions let me know in comment box thankyou for your question.

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A: Please see the attached images for a full solution. Thanks.Explanation:

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A: The slope of the tangent line at point (x,y) is given as

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